Recently discovered double gamma/beta ({\gamma}/\b{eta}) polymorph Ga2O3
structures constitute a class of novel materials providing an option to
modulate functional properties across interfaces without changing chemical
compositions of materials, in contrast to that in conventional
heterostructures. In this work, for the first time, we investigate thermal
transport in such homo-interface structures as an example of their physical
properties. Specifically, the cross-plane thermal conductivity (k) was measured
by femtosecond laser-based time-domain thermoreflectance with MHz modulation
rates, effectively obtaining depth profiles of the thermal conductivity across
the {\gamma}/\b{eta}-Ga2O3 structures. In this way, the thermal conductivity of
{\gamma}-Ga2O3 k=1.84{\div}2.11 W m-1K-1 was found to be independent of the
initial \b{eta}-substrates orientations, in accordance with the cubic spinel
structure of the {\gamma}-phase and consistently with the molecular dynamics
simulation data. In its turn, the thermal conductivity of monoclinic
\b{eta}-Ga2O3 showed a distinct anisotropy, with values ranging from 10 W
m-1K-1 for [201] to 20 Wm-1K-1 for [010] orientations. Thus, for double
{\gamma}/\b{eta} Ga2O3 polymorph structures formed on [010] \b{eta}-substrates,
there is an order of magnitude difference in thermal conductivity across the
{\gamma}/\b{eta} interface, which potentially can be exploited in thermal
energy conversion applications